1. **Problem 1: Identify the hypotenuse in a spherical triangle with angles** $A=90^\circ$, $B=100^\circ$, $C=92^\circ$. 2. In spherical triangles, the side opposite the largest angle is the longest side, often considered the hypotenuse if the triangle is right-angled. 3. Here, the largest angle is $B=100^\circ$, so the side opposite $B$ is side $b$. 4. Therefore, the hypotenuse is side $b$. --- 5. **Problem 2: Which part of the spherical triangle will be encircled?** 6. Without a visible graph, the question is ambiguous, but typically, the "encircled" part refers to the angle or side highlighted. 7. Since the options are "A unknown", "A hypotenuse", "A Angles", and "A given", the most reasonable answer is "A Angles" as angles are often encircled in diagrams. --- 8. **Problem 3: What does BAR mean?** 9. The selected answer is "complementary angle". 10. In trigonometry, a bar over a letter often denotes the complement or related angle, so "complementary angle" is correct.